Question

How do you solve this system of equations: `x- y = 3 and y = 2- 4x`?

Answer 1

`x=1`
`y=-2`

Explanation:

`x-y=3`

Writing `y` in terms of `x`,
`x-(2-4x)=3`

Simplifying further,
`x-2+4x=3`
`x+4x=3+2`
`5x=5`
`x=1`

`y=2-4x`
`y=2-4(1)`
`y=2-4`
`y=-2`